Question

are these shapes similar?
g
21 yd
h
21 yd
21 yd
21 yd
j
i
18 yd
m
18 yd
18 yd
18 yd
p
n
o

Explanation:

Step1: Check angle - equality

All corresponding angles are equal (marked with same - style arcs).

Step2: Check side - ratio

The ratio of corresponding sides is \(\frac{21}{18}=\frac{7}{6}\). Since all sides of the first quadrilateral (\(GH = HJ=JI = IG = 21\) yd) and all sides of the second quadrilateral (\(PM=MN = NO=OP = 18\) yd) have the same ratio \(\frac{21}{18}\), and angles are equal.

Answer:

yes